x(x+4)(5x-3)=0

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Solution for x(x+4)(5x-3)=0 equation: 


Simplifying
x(x + 4)(5x + -3) = 0

Reorder the terms:
x(4 + x)(5x + -3) = 0

Reorder the terms:
x(4 + x)(-3 + 5x) = 0

Multiply (4 + x) * (-3 + 5x)
x(4(-3 + 5x) + x(-3 + 5x)) = 0
x((-3 * 4 + 5x * 4) + x(-3 + 5x)) = 0
x((-12 + 20x) + x(-3 + 5x)) = 0
x(-12 + 20x + (-3 * x + 5x * x)) = 0
x(-12 + 20x + (-3x + 5x2)) = 0

Combine like terms: 20x + -3x = 17x
x(-12 + 17x + 5x2) = 0
(-12 * x + 17x * x + 5x2 * x) = 0
(-12x + 17x2 + 5x3) = 0

Solving
-12x + 17x2 + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-12 + 17x + 5x2) = 0

Factor a trinomial.
x((-4 + -1x)(3 + -5x)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 3
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {0, -4, 0.6}

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